Von Karman Evolution Equations : Well-posedness and Long Time Dynamics (Springer Monographs in Mathematics)

Chueshov, I./ Lasiecka, I.

Springer（2010/04発売）

• 製本 Hardcover:ハードカバー版／ページ数 778 p.／サイズ 20 illus.
• 商品コード 9780387877112

基本説明

Exhaustive introduction in theory and methods of evolutionary Karman plate theory.

Full Description

In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the ?rst question, - ing of prime interest on purely mathematical grounds, also provides an important test of the viability of the model as a description of a given physical phenomenon. An answer or insight to the second question provides a wealth of information about the model, hence about the process it describes. Of particular interest are questions related to long-time behavior of solutions. Such an evolution property cannot be v- i?ed empirically, thus any in a-priori information about the long-time asymptotics can be used in predicting an ultimate long-time response and dynamical behavior of solutions. In recent years, this set of investigations has attracted a great deal of attention. Consequent efforts have then resulted in the creation and infusion of new methods and new tools that have been responsible for carrying out a successful an- ysis of long-time behavior of several classes of nonlinear PDEs.